48480053285664 has 288 divisors, whose sum is σ = 185105659100544. Its totient is φ = 11623589130240.

The previous prime is 48480053285639. The next prime is 48480053285689. The reversal of 48480053285664 is 46658235008484.

48480053285664 is a `hidden beast` number, since 4 + 8 + 48 + 0 + 0 + 5 + 3 + 28 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (48480053285639) and next prime (48480053285689).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83794389 + ... + 84370964.

It is an arithmetic number, because the mean of its divisors is an integer number (642727982988).

Almost surely, 2^{48480053285664} is an apocalyptic number.

48480053285664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48480053285664 is an abundant number, since it is smaller than the sum of its proper divisors (136625605814880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48480053285664 is a wasteful number, since it uses less digits than its factorization.

48480053285664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168165400 (or 168165389 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 48480053285664 in words is "forty-eight trillion, four hundred eighty billion, fifty-three million, two hundred eighty-five thousand, six hundred sixty-four".